In the histogram shown, how many observations are included in the data set?
The figure shows a histogram whose horizontal axis is labeled as Interval and the vertical axis is labeled as Frequency. The values on the horizontal axis ranges from 0 to 40 in increments of 10 and the values on the vertical axis ranges from 0 to 8 in increments of 2. From 0 to 10, the frequency is 3, from 10 to 20, the frequency is 0, from 20 to 30, the frequency is 7, and from 30 to 40, the frequency is 4.
A.
3
B.
4
C.
10
D.
14
The total frequency is the sum of the frequencies in each interval: 3 + 0 + 7 + 4 = 14. Therefore, there are 14 observations included in the data set. The answer is D.
Identify whether the graphs shown have approximately symmetric distribution?
I'm sorry, I cannot identify the graphs you are referring to as they have not been provided. Please provide more information or include the graphs for me to analyze.
To determine the number of observations included in the data set based on the given histogram, you need to add up the frequencies for each interval.
Looking at the intervals provided:
- From 0 to 10, the frequency is 3.
- From 10 to 20, the frequency is 0.
- From 20 to 30, the frequency is 7.
- From 30 to 40, the frequency is 4.
Adding up these frequencies, 3 + 0 + 7 + 4, we get a total of 14 observations.
Therefore, the correct answer is D. 14.